John R. Cannon, Mohamed Salman
The authors study the problem , , ; , and , where , and for and for , with and the sequence is determined by the equations , for , and , for , where . Note that the switching points , are unknown. A maximum principal argument has been used to prove that the solution is positive under certain conditions. Existence and uniqueness are demonstrated. Theoretical estimates of the and are obtained and numerical verifications of the estimates are presented.
Published April 15, 2009.
Math Subject Classifications: 35K57, 35K55.
Key Words: Reaction-diffusion, Parabolic, Nonlocal boundary conditions.
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| John R. Cannon |
University of Central Florida, Department of Mathematics
Orlando, FL 32816, USA
| Mohamed Salman |
Tuskegee University, Department of Mathematics
Tuskegee, AL 36088, USA
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